Investigators were searching a construction site in the Rice Military area Thursday after human bones were found there on Wednesday.
Houston police said a construction crew excavating a work site in the 100 block of Detering Street near Memorial Drive about 2:50 p.m. Wednesday.
Workers called police when they found the bones underneath a concrete slab foundation where an apartment building was built in 1981.
An anthropologist confirmed that the bones were human.
On Wednesday, detectives estimated that the bones may have been buried for at least 30 years.
"Because of the placement of the bones, we're pretty sure the body was placed there," Sgt. Richard Rodriguez said.
Officials said they have recovered a rib, a right calf bone, a left calf bone, an upper arm bone, a collar bone and skull fragments. Detectives have not said if they believe the bones are that of a man or woman.
The remains were likely be swabbed for DNA and put into a national database to see if there's a match.
Investigators said they have received a few calls from people whose loved ones disappeared in the 1980s. They are looking into those cases.
Anyone with information is asked to call the HPD Homicide Division at 713-308-3600 or Crime Stoppers at 713-222-TIPS.